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325668816 = 243311193607
BaseRepresentation
bin10011011010010…
…100111111010000
3211200210200122000
4103122110333100
51131332400231
652152114000
711033065524
oct2332247720
9750720560
10325668816
11157916890
1291095900
1352617555
1431375d84
151d8ce6e6
hex13694fd0

325668816 has 160 divisors (see below), whose sum is σ = 1073740800. Its totient is φ = 93467520.

The previous prime is 325668803. The next prime is 325668817. The reversal of 325668816 is 618866523.

325668816 is a `hidden beast` number, since 3 + 2 + 566 + 8 + 81 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325668817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 88485 + ... + 92091.

It is an arithmetic number, because the mean of its divisors is an integer number (6710880).

Almost surely, 2325668816 is an apocalyptic number.

325668816 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325668816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536870400).

325668816 is an abundant number, since it is smaller than the sum of its proper divisors (748071984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

325668816 is a wasteful number, since it uses less digits than its factorization.

325668816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3642 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 325668816 is about 18046.2964621553. The cubic root of 325668816 is about 688.0057350342.

The spelling of 325668816 in words is "three hundred twenty-five million, six hundred sixty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 19 22 24 27 33 36 38 44 48 54 57 66 72 76 88 99 108 114 132 144 152 171 176 198 209 216 228 264 297 304 342 396 418 432 456 513 528 594 627 684 792 836 912 1026 1188 1254 1368 1584 1672 1881 2052 2376 2508 2736 3344 3607 3762 4104 4752 5016 5643 7214 7524 8208 10032 10821 11286 14428 15048 21642 22572 28856 30096 32463 39677 43284 45144 57712 64926 68533 79354 86568 90288 97389 119031 129852 137066 158708 173136 194778 205599 238062 259704 274132 317416 357093 389556 411198 476124 519408 548264 616797 634832 714186 753863 779112 822396 952248 1071279 1096528 1233594 1428372 1507726 1558224 1644792 1850391 1904496 2142558 2261589 2467188 2856744 3015452 3289584 3700782 4285116 4523178 4934376 5713488 6030904 6784767 7401564 8570232 9046356 9868752 12061808 13569534 14803128 17140464 18092712 20354301 27139068 29606256 36185424 40708602 54278136 81417204 108556272 162834408 325668816